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Finding the Fourth Proportional to 11,234.37, 16,853.54 and 3,837.10

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Solution

The fourth proportional to 11,234.37, 16,853.54 and 3,837.10 is: 5,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.37 : 16,853.54 = 3,837.10 : x
  2. Step 2: Convert to fraction form
    11,234.37/16,853.54 = 3,837.10/x
  3. Step 3: Cross multiply
    11,234.37x = 16,853.54 × 3,837.10
  4. Step 4: Simplify right side
    11,234.37x = 64,668,718.33
  5. Step 5: Solve for x
    x = 64,668,718.33/11,234.37
  6. Step 6: Final answer
    x = 5,756.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.